Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

No abstract is available for this paper.

• Publication year

  2015

• Venue

  Soft Computing - A Fusion of Foundations, Methodologies and Applications

• Publication date

  2015-05-28

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1007/s00500-015-1707-4
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type

  2015cited by this paper
• A numerical method for singularly perturbed turning point problems with an interior layer

  2014cited by this paper
• Solution of linear differential equations with fuzzy boundary values

  2014cited by this paper
• A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type

  2014cited by this paper
• Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations

  2014cited by this paper
• Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

  2014cited by this paper
• A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems

  2014cited by this paper
• A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation

  2014cited by this paper
• Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method

  2013cited by this paper
• Solving a system of linear Volterra integral equations using the new reproducing kernel method

  2013cited by this paper
• Series Solution of Fuzzy Differential Equations under Strongly Generalized Differentiability

  2013cited by this paper
• Fuzzy neural network for solving a system of fuzzy differential equations

  2013cited by this paper
• Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers

  2013cited by this paper
• A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations

  2013cited by this paper
• Analytical Solutions of Fuzzy Initial Value Problems by HAM

  2013cited by this paper
• Analytical and numerical solutions of fuzzy differential equations

  2013cited by this paper
• A reproducing kernel method for solving nonlocal fractional boundary value problems

  2012cited by this paper
• Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

  2012cited by this paper
• Reproducing Kernel Spaces and Applications

  2012cited by this paper
• Variation of constant formula for first order fuzzy differential equations

  2011cited by this paper
• Artificial neural network approach for solving fuzzy differential equations

  2010influential reference
• Improved predictor-corrector method for solving fuzzy initial value problems

  2009cited by this paper
• Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method

  2009influential reference
• Runge-Kutta methods for fuzzy differential equations

  2009cited by this paper
• Solving fuzzy differential equations by differential transformation method

  2009cited by this paper
• Numerical solution of fuzzy differential equations by Nystrm method

  2009cited by this paper
• Nonlinear Numerical Analysis in Reproducing Kernel Space

  2009cited by this paper
• NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

  2009influential reference
• On new solutions of fuzzy differential equations

  2008cited by this paper
• First order linear fuzzy differential equations under generalized differentiability

  2007cited by this paper
• Numerical Solution of Fuzzy Differential Equations

  2007cited by this paper
• Fuzzy differential equations and the extension principle

  2007cited by this paper
• A note on fuzzy differential equations

  2006cited by this paper
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations

  2005influential reference
• Tuning of reachable set in one dimensional fuzzy differential inclusions

  2005cited by this paper
• Reproducing kernel Hilbert spaces in probability and statistics

  2004cited by this paper
• Almost periodic fuzzy-number-valued functions

  2004cited by this paper
• The exact solution for solving a class nonlinear operator equations in the reproducing kernel space

  2003influential reference
• Fuzzy random variables

  2001influential reference
• Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations

  2000cited by this paper
• Fuzzy differential equations

  2000cited by this paper
• Differential Equations With Fuzzy Parameters

  1999cited by this paper
• Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations

  1999cited by this paper
• Numerical solutions of fuzzy differential equations

  1999cited by this paper
• An Approach to Modelling and Simulation of Uncertain Dynamical Systems

  1997cited by this paper
• On the fuzzy initial value problem

  1987cited by this paper
• Elementary fuzzy calculus

  1986influential reference
• Differentials of fuzzy functions

  1983influential reference
• Reproducing kernel Hilbert spaces: Applications in statistical signal processing

  1982cited by this paper
• A note on the extension principle for fuzzy sets

  1978cited by this paper

• Numerical investigation for the tempered fractional (2+1)-dimensional Konopelchenko-Dubrovsky model with physical insights

  2026cites this paper
• Evaluating Vegetable Nutrition for Dental Health Maintenance Using an Orthopair Fuzzy Z-Number Decision-Making Model

  2026cites this paper
• Evaluating and benchmarking nutritional supplement providers using a multi-criteria decision-making modeling approach

  2025cites this paper
• An Approach to Model Uncertainty in Fluid Behaviour with Navier-Stokes Equations in Neutrosophic Environment

  2025cites this paper
• An Analytical Framework for Baby Milk Products Selection Using Decision Making Techniques

  2025cites this paper
• An accurate kernel functions-based method for coupled advection-diffusion-reaction models under Neumann, periodic, and no flux conditions

  2025cites this paper
• Analyzing Hybrid Fuzzy Differential Equations Under Generalized Differentiability with Distinct Fuzzy Initial Conditions Using Cubic B-Spline Collocation Method

  2025cites this paper
• Numerical Simulation of Internal-Wave-Type Systems Under the Fuzzy Caputo Fractional Derivative

  2025cites this paper
• Evaluating date fruit varieties for health benefits using advanced fuzzy decision-making

  2025cites this paper
• Efficient polynomial kernel-based method for multi-term time-fractional diffusion systems in regular and irregular domains

  2025cites this paper
• Contra-hormonic generalized fuzzy numerical scheme for solving mechanical engineering problems

  2024cites this paper
• Learning Joint Topic Representation for Detecting Drift in Social Media Text

  2024cites this paper
• Evaluation and benchmarking of hybrid machine learning models for autism spectrum disorder diagnosis using a 2-tuple linguistic neutrosophic fuzzy sets-based decision-making model

  2024cites this paper
• Prioritizing complex health levels beyond autism triage using fuzzy multi-criteria decision-making

  2024cites this paper
• An Efficient Numerical Method for Solving a Class of Nonlinear Fractional Differential Equations and Error Estimates

  2024cites this paper
• Evaluation of energy economic optimization models using multi-criteria decision-making approach

  2024cites this paper
• A combined framework based on LSTM autoencoder and XGBoost with adaptive threshold classification for credit card fraud detection

  2024cites this paper
• Efficient Numerical Solutions for Fuzzy Time Fractional Diffusion Equations Using Two Explicit Compact Finite Difference Methods

  2024cites this paper
• Evaluation and benchmarking of research-based microgrid systems using FWZIC-VIKOR approach for sustainable energy management

  2024cites this paper
• Multiobjective optimal power flow solutions using nondominated sorting colliding bodies optimization

  2024cites this paper
• Exploring decision-making techniques for evaluation and benchmarking of energy system integration frameworks for achieving a sustainable energy future

  2024cites this paper
• A new method for chest X-ray images categorization using transfer learning and CovidNet_2020 employing convolution neural network

  2023cites this paper
• Developing the Third Order Linear and Nonlinear Fuzzy Ordinary Differential Equations in Hilbert Space by the Extension Principle.

  2023cites this paper
• An integrated fuzzy multi-measurement decision-making model for selecting optimization techniques of semiconductor materials

  2023cites this paper
• Traffic Signal Optimization Based on Fuzzy Control and Differential Evolution Algorithm

  2023cites this paper
• Fuzzy Decision-Making Framework for Sensitively Prioritizing Autism Patients with Moderate Emergency Level

  2023cites this paper
• Adaptive control for manipulators with model uncertainty and input disturbance

  2023cites this paper
• Fuzzy Yang transform for second order fuzzy differential equations of integer and fractional order

  2023cites this paper
• An interval type-2 fuzzy ELECTRE approach for assessing ballast water treatment systems for ships

  2023cites this paper
• Evaluation of remote sensing techniques-based water quality monitoring for sustainable hydrological applications: an integrated FWZIC-VIKOR modelling approach

  2023cites this paper
• A Systematic Review of Using Deep Learning Technology in the Steady-State Visually Evoked Potential-Based Brain-Computer Interface Applications: Current Trends and Future Trust Methodology

  2023cites this paper
• Rough Fermatean fuzzy decision-based approach for modelling IDS classifiers in the federated learning of IoMT applications

  2023cites this paper
• A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations

  2022cites this paper
• Micro multi-strategy multi-objective artificial bee colony algorithm for microgrid energy optimization

  2022cites this paper
• An application of interval type-2 fuzzy model based control system for generic aircraft

  2022cites this paper
• A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables

  2022cites this paper
• Sustainable multi-period hub location under uncertainty

  2022cites this paper
• Time-series data prediction problem analysis through multilayered intuitionistic fuzzy sets

  2022cites this paper
• Hybrid Diagnosis Models for Autism Patients Based on Medical and Sociodemographic Features Using Machine Learning and Multicriteria Decision-Making (MCDM) Techniques: An Evaluation and Benchmarking Framework

  2022cites this paper
• Intuitionistic fuzzy time series forecasting method for non-stationary time series data with suitable number of clusters and different window size for fuzzy rule generation

  2022cites this paper
• Shadowed Type-2 Fuzzy Sets in Dynamic Parameter Adaption in Cuckoo Search and Flower Pollination Algorithms for Optimal Design of Fuzzy Fault-Tolerant Controllers

  2022cites this paper
• Next-generation antivirus endowed with web-server Sandbox applied to audit fileless attack

  2022cites this paper
• Approximate solutions of fuzzy fractional population dynamics model

  2022cites this paper
• An Improved AdaBoost for Prosecutorial Case-Workload Estimation via Case Grouping

  2022cites this paper
• Evaluating appropriate communication technology for smart grid by using a comprehensive decision-making approach fuzzy TOPSIS

  2022cites this paper
• Performance Analysis of Fuzzy-PID Controller in Nuclear, dish-Stirling Solar Thermal and Reheat Thermal Energy Integrated Deregulated Power System

  2022cites this paper
• Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations

  2022cites this paper
• Experiential and Stochastic Learning Algorithms Based on the Probability of a Fuzzy Event and Modified Fuzzy Metric Distance in Intelligent Robotic Part Micro-Assembly

  2022cites this paper
• A new method of nonlinear analysis for a mechanism with a cylindrical clearance joint using information entropy theory

  2022cites this paper
• Hilbert solution of fuzzy fractional boundary value problems

  2022cites this paper
• Computational treatment of statistical declaration probable error for flow of nanomaterials with irreversibility

  2022cites this paper
• Diagnosis and prediction of failures in maintenance systems using fuzzy inference and Z-number method

  2022cites this paper
• Affinity and transformed class probability-based fuzzy least squares support vector machines

  2022cites this paper
• Modeling stock market using new hybrid intelligent method based on MFNN and IBHA

  2022cites this paper
• Mode Choice Behavior Modeling: A Synergy by Hybrid Neural Network and Fuzzy Logic System

  2022cites this paper
• Regular and strongly regular relations induced by fuzzy subhypermodules

  2022cites this paper
• Convergence Analysis Hilbert Space Approach for Fuzzy Integro-Differential Models

  2022cites this paper
• Modularity characterization on general 2-uninorms and overlap or grouping functions

  2022influential citation
• A numerical method to solve a fuzzy differential equation via differential inclusions

  2021cites this paper
• On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform

  2021cites this paper
• A Manufacturing SCOS Model (MSCOS) Based on the Similarity of Parameter Sequences Between Tasks and Service Composition

  2021cites this paper
• New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography

  2021cites this paper
• Multi-item two-stage fixed-charge 4DTP with hybrid random type-2 fuzzy variable

  2021cites this paper
• A fuzzy functional linear regression model with functional predictors and fuzzy responses

  2021cites this paper
• Fractional view of heat‐like equations via the Elzaki transform in the settings of the Mittag–Leffler function

  2021cites this paper
• Multi-fault diagnosis of rolling bearing using two-dimensional feature vector of WP-VMD and PSO-KELM algorithm

  2021cites this paper
• Modified Newton Integration Algorithm with Noise Tolerance for Discrete Algebraic Matrix Riccati Equation

  2021cites this paper
• An application of variational iteration method for solving fuzzy time-fractional diffusion equations

  2021cites this paper
• On fuzzy Volterra-Fredholm integrodifferential equation associated with Hilfer-generalized proportional fractional derivative

  2021cites this paper
• Some Fundamental Results on Fuzzy Conformable Differential Calculus

  2021cites this paper
• Vehicle detection from road image sequences for intelligent traffic scheduling

  2021cites this paper
• A Bi-directional Fuzzy C-Means Clustering Ensemble Algorithm Considering Local Information

  2021cites this paper
• Numerical solutions of fractional convection-diffusion equation using finite-difference and finite-volume schemes

  2021cites this paper
• Group decision making based on multiplicative consistency-and-consensus preference analysis for incomplete q-rung orthopair fuzzy preference relations

  2021cites this paper
• The Transform Method to Solve Fuzzy Differential Equation via Differential Inclusions

  2021cites this paper
• Novel dynamic fuzzy Decision-Making framework for COVID-19 vaccine dose recipients

  2021cites this paper
• Noise-tolerant gradient-oriented neurodynamic model for solving the Sylvester equation

  2021cites this paper
• A Runge–Kutta numerical method to approximate the solution of bipolar fuzzy initial value problems

  2021cites this paper
• RNN / LSTM with modified Adam optimizer in deep learning approach for automobile spare parts demand forecasting

  2021cites this paper
• Non-fragile H∞ memory sampled-data state-feedback control for continuous-time nonlinear Markovian jump fuzzy systems with time-varying delay

  2021cites this paper
• Generalized fractional evolution equations driven by fuzzy variational inequalities

  2021cites this paper
• Novel MCGDM analysis under m-polar fuzzy soft expert sets

  2021cites this paper
• Decision aid modeling based on sine trigonometric spherical fuzzy aggregation information

  2021cites this paper
• Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin

  2021cites this paper
• Fuzzy best-worst method based on generalized interval-valued trapezoidal fuzzy numbers for multi-criteria decision-making

  2021cites this paper
• Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations

  2021cites this paper
• Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

  2021cites this paper
• Neutrosophic variational inequalities with applications in decision-making

  2021cites this paper
• Enhancing extended belief rule-based systems for classification problems using decomposition strategy and overlap function

  2021cites this paper
• Applications of improved spherical fuzzy Dombi aggregation operators in decision support system

  2021cites this paper
• A supply chain model with service level constraints and strategies under uncertainty

  2021cites this paper
• On a generalized entropy and dissimilarity measure in intuitionistic fuzzy environment with applications

  2021cites this paper
• Adaptive type-2 fuzzy PID controller for LFC in AC microgrid

  2021cites this paper
• Based on T-spherical fuzzy environment: A combination of FWZIC and FDOSM for prioritising COVID-19 vaccine dose recipients

  2021cites this paper
• Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces

  2021cites this paper
• Cubic fuzzy Heronian mean Dombi aggregation operators and their application on multi-attribute decision-making problem

  2021cites this paper
• UAVData: A dataset for unmanned aerial vehicle detection

  2021cites this paper
• Interval number ranking method based on multiple decision attitudes and its application in decision making

  2021cites this paper
• Cost assessment of different SMP strategies considering network contingencies with MBSOS

  2021cites this paper
• Adaptive learning control synchronization for unknown time-varying complex dynamical networks with prescribed performance

  2021cites this paper